404912040000 has 840 divisors, whose sum is σ = 1523702759040. Its totient is φ = 94293504000.

The previous prime is 404912039977. The next prime is 404912040067. The reversal of 404912040000 is 40219404.

404912040000 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 563159641 + ... + 563160359.

It is an arithmetic number, because the mean of its divisors is an integer number (1813931856).

Almost surely, 2^404912040000 is an apocalyptic number.

404912040000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404912040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761851379520).

404912040000 is an abundant number, since it is smaller than the sum of its proper divisors (1118790719040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

404912040000 is a wasteful number, since it uses less digits than its factorization.

404912040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 805 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 404912040000 its reverse (40219404), we get a palindrome (404952259404).

The spelling of 404912040000 in words is "four hundred four billion, nine hundred twelve million, forty thousand".